All categories

3 years ago

Solve for x. 3x−82=x−6 Enter your answer in the box. x =

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Get like terms together. you might have to move across the equals sign

3x-x=-6+82

2x=76

x=38

You might be interested in

What is the solution to the equation x/3+x/6=7/2

nadezda [96]

Answer:

x = 7

Step-by-step explanation:

the smallest common denominator between 2 3 and 6 is 6. Multiply the original equation by 6

6(x/3 + x/6 = 7/2)
6(x / 3) = 2x
6(x/6) = x
6(7/2) = 3*7 = 21

Result

2x + x = 21
3x = 21
3x/3 = 21/3
x = 7

Check

7/3 + 7/6 = 7/2
14/6 + 7/6 = ? 7/2
21/6 =? 7/2
21/6 = 3.5
7/2 = 3.5

Answer: x = 7

3 0

3 years ago

Find the average value of f(x, y = over the region, r, the triangle with vertices (0, 0, (0, 1 and (1, 1.

makkiz [27]

Can't be done without knowing what $f$ is...

But I can tell you that the average value of $f$ is given by

$\dfrac{\displaystyle\iint_Rf(x,y)\,\mathrm dx\,\mathrm dy}{\displaystyle\iint_R\mathrm dx\,\mathrm dy}$

At the very least, we can compute the denominator, which is just the area of $R$ . You have

$\displaystyle\iint_R\mathrm dx\,\mathrm dy=\int_{x=0}^{x=1}\int_{y=x}^{y=1}\mathrm dy\,\mathrm dx=\int_0^1(1-x)\,\mathrm dx=\dfrac12$

so the average value will be

$2\displaystyle\iint_Rf(x,y)\,\mathrm dx\,\mathrm dy$

4 0

4 years ago

Of the 16 new students in a swim class, 6 said they knew how to do the butterfly stroke. Write a ratio that is equivalent to 6/1

weqwewe [10]

ANSWER: 3:8
EXPLANATION: 6/16 = 3/8

7 0

2 years ago

Line segment AB has endpoints A(7.5, 4.2) and B(2.3, 5.4). Find the coordinates of the point that divides the line segment direc

galben [10]

Given a line with endpoints $A(x_1,\, y_1)$ and $B(x_2,\, y_2)$ , the <span>coordinates of the point that divides the line segment directed from A to B in the ratio of m : n is given by</span>

$(x,\, y)=\left( \frac{n(x_1)+m(x_2)}{m+n} ,\, \frac{m(y_1)+n(y_2)}{m+n} \right)$

Given that l<span>ine segment AB has endpoints A(7.5, 4.2) and B(2.3, 5.4). the coordinates of the point that divides the line segment directed from A to B in the ratio of 1 : 3 is given by

$(x,\, y)=\left( \frac{3(7.5)+2.3}{1+3},\, \frac{3(4.2)+5.4}{1+3} \right) \\ \\ =\left( \frac{22.5+2.3}{4} ,\, \frac{12.6+5.4}{4} \right)=\left( \frac{24.8}{4} ,\, \frac{18}{4}\right) \\ \\ =(6.2,\, 4.5)$ </span>

3 0

3 years ago

49 more than the quotient of an unknown number and 12 is 53. What is the value of the unknown number?

nalin [4]

The unknown number is 48 using the equation: x ÷ 12 +49=53 subtract 49 from both sides and get x ÷ 12 = 4 multiplying by 12 on both side to get rid of the ÷12 and get the final answer of x=48.

6 0

3 years ago